word problems 1

Question

1. Three times the square of a number, plus 7 times the number, minus 6, is equal to 14. Find the number?

 

2. The circumference of a right-angles triangle is 49,555 m. Calculate the lengths of the right-angled sides if the hypotenuse is 20,555 m long and the one rightangled side is 2 m longer than the other.

Answer 1

1)

Let the number is .

Three times the square of a number is

And 7 times the number is and minus is equal to

Find the number.

The equation is 

Solve the equation.

Answer 2

2)

The circumference of a right angles triangle is

The hypotenuse is

And the one right angled side is

Find the lengths of the right angle longer side.

Formula for circumference of a right angles triangle is

Substitute

The right angle side length is